Use Tables of Equivalent Ratios Quick Check 5 of 55 of 5 Items Question Use the table to answer the question. 8 48 10 60 x 72 y 84Analyze the ratios in the table to find the missing values.(1 point) Responses 432; 504 432; 504 22; 34 22; 34 12; 14 12; 14 18; 26
To find the missing values, we need to analyze the ratios in the table.
First, let's compare the numbers in the first column (8, 10, and x). We can see that to go from 8 to 10, we multiply by 1.25 (10 ÷ 8 = 1.25). Therefore, to find x, we need to multiply 10 by 1.25.
x = 10 * 1.25 = 12.5
Next, let's compare the numbers in the second column (48, 60, and 72). We can see that to go from 48 to 60, we multiply by 1.25 (60 ÷ 48 = 1.25). Therefore, to find y, we need to multiply 72 by 1.25.
y = 72 * 1.25 = 90
So, the missing values are x = 12.5 and y = 90.
To find the missing values, we need to analyze the ratios in the table.
Looking at the first row, we can see that the ratio of 8 to 48 is equivalent to the ratio of 10 to x. This means that we can set up a proportion:
8/48 = 10/x
To solve for x, we can cross-multiply and solve the resulting equation:
8x = 10 * 48
8x = 480
x = 480/8
x = 60
So the missing value in the table is x = 60.
Similarly, looking at the second row, we can see that the ratio of 8 to 48 is equivalent to the ratio of y to 84. Again, we can set up a proportion:
8/48 = y/84
Cross-multiplying and solving the equation:
8*84 = 48y
672 = 48y
y = 672/48
y = 14
So the missing value in the table is y = 14.
Therefore, the correct response is 60; 14.
To find the missing values in the table using equivalent ratios, we can look at the relationship between the numbers in each column.
In the first column, we can see that 8 is equivalent to 48 (8 x 6 = 48) and 10 is equivalent to 60 (10 x 6 = 60). Therefore, we can deduce that x is equivalent to 72 (x x 6 = 72).
Similarly, in the second column, we can see that 8 is equivalent to 48 (8 x 6 = 48) and 10 is equivalent to 60 (10 x 6 = 60). Therefore, y must be equivalent to 84 (y x 6 = 84).
Therefore, the missing values in the table are x = 72 and y = 84.
The correct answer is 72; 84.